A Rigorous Method for Calculating the Casimir Effect

Ni Guangjiong; Zhang Min; Gong Jiawen

Chinese Physics C> 1991, Vol. 15> Issue(S3) : 289-296

A Rigorous Method for Calculating the Casimir Effect

Department of Physics, Fudan University, Shanghai, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Using the Plana summation formula in the complex variable function theory, we calculate the Casimir energy related to the zero point fluctuations of an electromagnetic field in the three-dimensional vacuum space without introducing any cutofTparameter or function. The finite analytic expression derived by us coincides with the known experimental and theoretical results. The Casimir effect in the high dimensional space and that induced by a massive scalar field are also discussed.

[1]	Peng Yin , Jianmin Dong , Wei Zuo . Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach. Chinese Physics C, 2017, 41(11): 114102. doi: 10.1088/1674-1137/41/11/114102
[2]	M. Bashkanov (for the WASA-at-COSY collaboration) . ABC effect in double-pionic nuclear fusion and a pn resonance as its possible origin. Chinese Physics C, 2010, 34(9): 1339-1341. doi: 10.1088/1674-1137/34/9/037
[3]	WANG Ji-Ke , MAO Ze-Pu , BIAN Jian-Ming , CAO Guo-Fu , CAO Xue-Xiang , CHEN Shen-Jian , DENG Zi-Yan , FU Cheng-Dong , GAO Yuan-Ning , HE Kang-Lin , HE Miao , HUA Chun-Fei , HUANG Bin , HUANG Xing-Tao , JI Xiao-Bin , LI Fei , LI Hai-Bo , LI Wei-Dong , LIANG Yu-Tie , LIU Chun-Xiu , LIU Huai-Min , LIU Suo , LIU Ying-Jie , MA Qiu-Mei , MA Xiang , MAO Ya-Jun , MO Xiao-Hu , PAN Ming-Hua , PANG Cai-Ying , PING Rong-Gang , QIN Ya-Hong , QIU Jin-Fa , SUN Sheng-Sen , SUN Yong-Zhao , WANG Liang-Liang , WEN Shuo-Pin , , , , , , . Software alignment of the BESⅢ main drift chamber using the Kalman Filter method. Chinese Physics C, 2009, 33(3): 210-216. doi: 10.1088/1674-1137/33/3/010
[4]	ZHANG Da-Lin , QIU Sui-Zheng , LIU Chang-Liang , SU Guang-Hui . Steady state investigation on neutronics of a molten salt reactor considering the flow effect of fuel salt. Chinese Physics C, 2008, 32(8): 624-628. doi: 10.1088/1674-1137/32/8/007
[5]	ZHANG Man-Zhou , HOU Jie , LI Hao-Hu , LIU Gui-Min , LI De-Ming . Optimal sorting method and application to SSRF booster dipoles. Chinese Physics C, 2008, 32(11): 924-927. doi: 10.1088/1674-1137/32/11/015
[6]	GUO Yun-Jun , HE Kang-Lin . Muon Identification Using the Efficiencies Ratio Method at BESⅡ. Chinese Physics C, 2007, 31(11): 1050-1055.
[7]	CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

Access

Get Citation

Ni Guangjiong, Zhang Min and Gong Jiawen. A Rigorous Method for Calculating the Casimir Effect[J]. Chinese Physics C, 1991, 15(S3): 289-296.

Ni Guangjiong, Zhang Min and Gong Jiawen. A Rigorous Method for Calculating the Casimir Effect[J]. Chinese Physics C, 1991, 15(S3): 289-296. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1990-12-15

Fund

Supported by the Science Foundation of State Education Commission of China.

Article Metric

Article Views(1089)
PDF Downloads(2)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A Rigorous Method for Calculating the Casimir Effect

Department of Physics, Fudan University, Shanghai, China

Received Date: 1990-12-15

Fund Project: Supported by the Science Foundation of State Education Commission of China.

Abstract: Using the Plana summation formula in the complex variable function theory, we calculate the Casimir energy related to the zero point fluctuations of an electromagnetic field in the three-dimensional vacuum space without introducing any cutofTparameter or function. The finite analytic expression derived by us coincides with the known experimental and theoretical results. The Casimir effect in the high dimensional space and that induced by a massive scalar field are also discussed.